Can tooth pain lead to stomach pain?

I was wondering if tooth pain in the upper jaw could lead to stomach and back pain, in some fashion?
My teeth are in a horrid fashion, and most of the back teeth in my upper jaw have broken and are falling apart.
In the last three days, I have been experiencing extreme stabs of pain in my chest, stomach, and back (though the back has only been hurting for two days now). Every time there is a flair of pain in my lower area, my upper jaw hurts were the teeth are falling apart.
I’ve heard that tooth and chest pain can be connected.